TY  - BOOK
AU  - Berman,Joel
AU  - Idziak,Paweł M.
TI  - Generative Complexity in Algebra
T2  - Memoirs of the American Mathematical Society
SN  - 9781470404291
AV  - QA172 -- .B47 2005eb 
U1  - 510 s;511.3/3 
PY  - 2005///
CY  - Providence
PB  - American Mathematical Society
KW  - Ordered algebraic structures
KW  - Model theory
KW  - Algebraic varieties -- Classification theory
KW  - Electronic books
N1  - Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Background Material -- Part 1. Introducing Generative Complexity -- Chapter 3. Definitions and Examples -- Chapter 4. Semilattices and Lattices -- Chapter 5. Varieties with a Large Number of Models -- Chapter 6. Upper Bounds -- Chapter 7. Categorical Invariants -- Part 2. Varieties with Few Models -- Chapter 8. Types 4 or 5 Need Not Apply -- Chapter 9. Semisimple May Apply -- Chapter 10. Permutable May also Apply -- Chapter 11. Forcing Modular Behavior -- Chapter 12. Restricting Solvable Behavior -- Chapter 13. Varieties with Very Few Models -- Chapter 14. Restricting Nilpotent Behavior -- 14.1. Nilpotent Congruences in non Nilpotent Algebras -- 14.2. Nilpotent Algebras -- Chapter 15. Decomposing Finite Algebras -- Chapter 16. Restricting Afflne Behavior -- 16.1. Expanded Modules -- 16.2. Forcing Finite Representation Type -- Chapter 17. A Characterization Theorem -- 17.1. Locally Finite Varieties with Few Models -- 17.2. Finitely Generated Varieties with Few Models -- Part 3. Conclusions -- Chapter 18. Application to Groups and Rings -- Chapter 19. Open Problems -- Chapter 20. Tables -- Bibliography
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114257
ER  -